A cone has a height of 10cm and a volume of 350cm cubed. what is the radius of the cone?
(1/3)*pi*r^2*h = V = 350 cm^3.
(1/3)*3.14*r^2*10 = 350
10.467r^2 = 350
r^2 = 33.44
r = 5.78 cm.
r=π3469)3
c do me to o
To find the radius of the cone, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where V is the volume, π is the mathematical constant pi (approximately 3.14), r is the radius, and h is the height.
In this case, we know that the volume (V) is 350 cm^3 and the height (h) is 10 cm. We can rearrange the formula to solve for the radius (r):
r^2 = (3V) / (πh)
Substituting the given values:
r^2 = (3 * 350) / (3.14 * 10)
r^2 = 1050 / 31.4
r^2 ≈ 33.45
Taking the square root of both sides of the equation, we find:
r ≈ √33.45
r ≈ 5.78 cm
Therefore, the radius of the cone is approximately 5.78 cm.
To find the radius of a cone with a given height and volume, we can use the formula for the volume of a cone:
V = (1/3) * π * r^2 * h
where V is the volume, π is a mathematical constant (approximately equal to 3.14159), r is the radius of the base of the cone, and h is the height of the cone.
In this case, we are given the height (h) as 10 cm and the volume (V) as 350 cm^3. We need to find the radius (r).
Let's rearrange the formula to solve for the radius (r):
350 = (1/3) * π * r^2 * 10
We can simplify the equation by multiplying both sides by 3 and dividing by 10:
350 * 3 = π * r^2 * 10
1050 = π * r^2 * 10
We can further simplify the equation by dividing both sides by π * 10:
1050 / (π * 10) = r^2
Now, we can take the square root of both sides to isolate the radius (r):
sqrt(1050 / (π * 10)) = r
Using a calculator, we can evaluate the right side of the equation to find the value of r.